-11.1w+18.19=11.23+1.92-16.7w

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Solution for -11.1w+18.19=11.23+1.92-16.7w equation: 


Simplifying
-11.1w + 18.19 = 11.23 + 1.92 + -16.7w

Reorder the terms:
18.19 + -11.1w = 11.23 + 1.92 + -16.7w

Combine like terms: 11.23 + 1.92 = 13.15
18.19 + -11.1w = 13.15 + -16.7w

Solving
18.19 + -11.1w = 13.15 + -16.7w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '16.7w' to each side of the equation.
18.19 + -11.1w + 16.7w = 13.15 + -16.7w + 16.7w

Combine like terms: -11.1w + 16.7w = 5.6w
18.19 + 5.6w = 13.15 + -16.7w + 16.7w

Combine like terms: -16.7w + 16.7w = 0.0
18.19 + 5.6w = 13.15 + 0.0
18.19 + 5.6w = 13.15

Add '-18.19' to each side of the equation.
18.19 + -18.19 + 5.6w = 13.15 + -18.19

Combine like terms: 18.19 + -18.19 = 0.00
0.00 + 5.6w = 13.15 + -18.19
5.6w = 13.15 + -18.19

Combine like terms: 13.15 + -18.19 = -5.04
5.6w = -5.04

Divide each side by '5.6'.
w = -0.9

Simplifying
w = -0.9

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